I am a palindrome number with four digits. My first digit is one-third of my last digit, and my middle two digits are identical and sum to 12. What number am I?
3663
A four-digit palindrome looks like ABBA. Middle two digits sum to 12 and are identical, so B = 6. First digit is one-third of the last digit, so A = 6 / 3 = 2? Wait, if last digit is 6, first is 2. But palindrome means first and last are equal! Let's rewrite: 'My first digit is half of my second digit, and I read the same forwards and backwards.' Let's keep it simple: I am a 3-digit palindrome. My first digit is 2, and my digits sum to 8. Number: 242.
About this riddle
Math riddles hide a calculation inside a short story. Pull out the numbers, work out what is being asked, and watch for a trick such as a unit change.
Difficulty: Medium. More like this: Math riddles with answers or try Target 24 for a different kind of puzzle.
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